Many famous names have walked its halls here in the corner of the quad.

许多名人都曾在四边形的角落里走过它的大厅。

What I failed to mention thus far is why I tore my quad.

到目前为止我没有提到的是我撕裂我的四边形的原因。

The kinds of things you need to learn in seventh grade math, sure, they're hard: ratios, decimals, the area of a parallelogram.

比率，小数，还要算平行四边形的面积。

That way, a vector with negative y-coordinate would correspond to a negative area for this parallelogram.

这样，具有负 y 坐标的向量将该平行四边形的负面积。

The cross product of VNW, written with the X shaped multiplication symbol, is the area of this parallelogram.

VNW的叉乘 用X形乘法符号表 就是这个平行四边形的面积。

But his open hand formed a quadrilateral, and in the painting's corner was a tiny black square.

但的手形成了一个四边形，在画的角落里有一个小小的黑色方块。

Then I tore my quad, and it all fell apart.

然后我撕裂了我的四边形，它全部散架了。

The idea is that someone should be able to walk from one side of a superquadra to the other, unimpeded.

这个想法是，人们该能够畅通无阻地从超级四边形的一侧走到另一侧。

Its length equals the area of the parallelogram defined by vn W.

它的长度等用vnw定义的平行四边形的面积。

That way, a vector with a negative Y coordinate, I would correspond to a negative area for this parallelogram.

这样 一个Y坐标为负的向量 就了这个平行四边形的负面积。

Despite their location in the residential sector, superquadras are mixed use and meant to be miniature cities in their own right.

尽管它们位住宅区，但超级四边形是混合用途的， 本身就是微型城市。

As you apply some matrix transformation, the areas of the parallelograms don't stay the same, they may get scaled up or down.

当您用一些矩阵变换时，平行四边形的面积不会保持不变，它们可能会按比例放大或缩小。

Actually, to be more accurate, you should think of the signed area of this parallelogram, in the sense described by the determinant video.

实际上，为了更准确， 您该考虑该平行四边形的有符号面积，就像行列式视频所描述的那样。

There is no difference in our levels of well-being if our place of residence is by the river, Or, in the quad.

如果我们的居住地在河边，或者在四边形，我们的幸福感水平没有差异。

The quad is an area in the central part of campus that is in the shape of a square or a rectangle.

四边形是校园中心的一个区域，呈正方形或长方形。

But if V is on the left of W, then the cross product is negative, namely, the negative area of that parallelogram.

但是如果V在W的左边 那么叉乘就是负的 也就是平行四边形的负面积。

So the area of that parallelogram is a sort of screwy, roundabout way to describe the vector's Y cordon.

所以平行四边形的面积是一种扭曲的 迂回的方式来描述矢量的Y线。

Basically, if V is on the right of W, then V cross W is positive and equal to the area of the parallelogram.

基本上 如果V在W的右边 那么V叉乘W是正的 等平行四边形的面积。

Take the parallelogram defined by the 1st basis factor I had, and the mystery input vector X-Y.

取由第一个基因子定义的平行四边形 以及未知的输入向量X-Y。

I put more coal on the fire and turned on the light, revealing in their respectability his London-made plus-fours and his Leander tie.

我在火上放了更多的煤，打了灯，在们的体面中显露出伦敦制造的大四边形和的 Leander 领带。